Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160ce |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6700400640 = 221 · 32 · 5 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8724481,-9915855455] |
[a1,a2,a3,a4,a6] |
Generators |
[230292594339376501611:-1601925213247796934604288:4759435355661] |
Generators of the group modulo torsion |
j |
280157751714584954881/25560 |
j-invariant |
L |
6.406041414589 |
L(r)(E,1)/r! |
Ω |
0.087844515171173 |
Real period |
R |
36.462386994715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160ba4 17040bc3 |
Quadratic twists by: -4 8 |